List questions from polylogarithm

Published on 24 Mar 2026 - 23:43

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Lagrange Inversion Theorem Proof

Published on 25 Apr 2026 - 8:18

42

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Upper-bounding $\exp \log^{d} \frac{\log n}{n}$

Published on 17 Apr 2026 - 2:09

62

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Taylor expansion of $x/W(x)$

Published on 14 Apr 2026 - 2:15

580

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Who discovered the logarithmic integral?

Published on 09 Apr 2026 - 14:51

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Evaluation of :$\sum_{n=1}^{\infty}\frac{\sin n \log n}{n}$

Published on 29 Apr 2026 - 12:26

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Branch Points of the Polylog function

Published on 29 Apr 2026 - 12:43

248

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Relation between dilogarithm and its complex conjugate

Published on 09 Apr 2026 - 16:36

310

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Proof of Dilogarithm Identity

Published on 09 Apr 2026 - 7:56

267

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Dilogarithm property

Published on 15 Apr 2026 - 11:51

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Show that $\int_0^{\infty}\frac{\operatorname{Li}_s(-x)}{x^{\alpha+1}}\mathrm dx=-\frac1{\alpha^s}\frac{\pi}{\sin(\pi \alpha)}$

Published on 16 Apr 2026 - 15:34

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Prove that $\int_0^1\frac{\operatorname{Li}_3(1-z)}{\sqrt{z(1-z)}}\mathrm dz=-\frac{\pi^3}{3}\log 2+\frac{4\pi}3\log^3 2+2\pi\zeta(3)$

Published on 15 Apr 2026 - 23:30

105

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Asymptotic expansion of $\operatorname{Li}_{-x}(1/2)$

Published on 13 Apr 2026 - 17:17

278

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On the series expansion of $\frac{\operatorname{Li}_3(-x)}{1+x}$ and its usage

Published on 29 Apr 2026 - 12:50

289

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Real Part of the Dilogarithm

Published on 15 Apr 2026 - 22:53

List Question

A conjectured formula for the polylogarithm of a negative integer order

Lagrange Inversion Theorem Proof

Upper-bounding $\exp \log^{d} \frac{\log n}{n}$

Taylor expansion of $x/W(x)$

Who discovered the logarithmic integral?

Evaluation of :$\sum_{n=1}^{\infty}\frac{\sin n \log n}{n}$

Branch Points of the Polylog function

Relation between dilogarithm and its complex conjugate

Proof of Dilogarithm Identity

Dilogarithm property

Show that $\int_0^{\infty}\frac{\operatorname{Li}_s(-x)}{x^{\alpha+1}}\mathrm dx=-\frac1{\alpha^s}\frac{\pi}{\sin(\pi \alpha)}$

Prove that $\int_0^1\frac{\operatorname{Li}_3(1-z)}{\sqrt{z(1-z)}}\mathrm dz=-\frac{\pi^3}{3}\log 2+\frac{4\pi}3\log^3 2+2\pi\zeta(3)$

Asymptotic expansion of $\operatorname{Li}_{-x}(1/2)$

On the series expansion of $\frac{\operatorname{Li}_3(-x)}{1+x}$ and its usage

Real Part of the Dilogarithm

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